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Method of asymptotic perturbation of fundamental solution and electromagnetic waves in layered media

  • Mathematical Models of Electromagnetism
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Abstract

The method of asymptotic perturbation of the fundamental solution of the wave equation is applied to compute the rapidly oscillating integrals that arise in wave fields in layered media. The principal part is separated for one of the integrals determining the electromagnetic waves in a layer medium.

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References

  1. A. N. Tikhonov and D. N. Shakhsuvarov, “A method for calculation of electromagnetic waves excited by alternating current in layered media,” Izv. AN SSSR, Geofizika, No. 3, 245–251 (1956).

    Google Scholar 

  2. V. I. Dmitriev, Electromagnetic Fields in Nonhomogeneous Media [in Russian], Izd. MGU, Moscow (1969).

    Google Scholar 

  3. A. N. Tikhonov, “Asymptotic behavior of integrals with Bessel functions,” Dokl. Akad. Nauk SSSR,125, No. 5, 982–985 (1959).

    MATH  MathSciNet  Google Scholar 

  4. V. I. Dmitriev, O. A. Skugarevskaya, and E. A. Fedorova, “High-frequency asymptotic behavior of the electromagnetic field in a layered medium,” Fiz. Zemli, No. 2, 44–51 (1972).

    Google Scholar 

  5. V. I. Dmitriev and E. A. Fedorova, “Numerical analysis of the vertical dipole field in a layered dielectric medium,” in: Electromagnetic Sounding of the Earth and the Moon [in Russian], MGU, Moscow (1975), pp. 14–22.

    Google Scholar 

  6. V. I. Selin, “Evaluation of integrals containing Bessel functions,” Integral'nye Preobrazovaniya i Spetsial'nye Funktsii,1, No. 2, 19–22 (1997).

    Google Scholar 

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Translated from Chislennye Metody v Matematicheskoi Fizike, Moscow State University, pp. 53–66, 1998.

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Selin, V.I. Method of asymptotic perturbation of fundamental solution and electromagnetic waves in layered media. Comput Math Model 10, 255–266 (1999). https://doi.org/10.1007/BF02358945

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  • DOI: https://doi.org/10.1007/BF02358945

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